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Finding the Third Proportional to 250,641,391.50 and 383,166,672.75

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Solution

The third proportional to 250,641,391.50 and 383,166,672.75 is: 585,763,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,641,391.50 : 383,166,672.75 = 383,166,672.75 : x
  2. Step 2: Convert to fraction form
    250,641,391.50/383,166,672.75 = 383,166,672.75/x
  3. Step 3: Cross multiply
    250,641,391.50x = 383,166,672.75 × 383,166,672.75
  4. Step 4: Simplify right side
    250,641,391.50x = 146,816,699,106,305,600
  5. Step 5: Solve for x
    x = 146,816,699,106,305,600/250,641,391.50
  6. Step 6: Final answer
    x = 585,763,980.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.